Exact Solutions for Time-Dependent Schrödinger Equation in Presence of the Pöschl-Teller Double-Ring Shaped Harmonic Potential

Sobhani, Hadi; Hassanabadi, H.

doi:10.12693/aphyspola.136.17

Cited by 3 publications

(1 citation statement)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, the exact solutions of Dirac equation with a tenser interaction potential are considered and gained more attention. Pure Coulomb tensor potential [15], Morse potential [16], Pseudo harmonic Potential [17], Rosen-Morse [18], Quadratic Exponential-Type Potential Plus Eckart Potential Tensor [19], Manning-Rosen Plus Shifted Deng-Fan Potential [20] and Pöschl-Teller double-ring shaped harmonic potential [21] are examples of these investigations.…”

Section: Introductionmentioning

confidence: 99%

Bound state solutions of a Dirac particle undergoing a tensor interaction potentials via asymptotic iteration method

Alsadi

2020

Journal of Taibah University for Science

View full text Add to dashboard Cite

Bound state solutions of a quantum Dirac particle with a tensor interactions terms are investigated by Asymptotic Iteration Method. The eigenvalues are calculated for tensor potentials and formulated into closed forms. Similarity Transformation is used to convert the Dirac equation into a generalized useful form. The s-wave analytical solutions for the relativistic problems of the Dirac-oscillator, Scarf, Rosen-Morse II, and Pöschl-Teller tensor potentials are obtained with an excellent agreement with previous works.

show abstract

Section: Introductionmentioning

confidence: 99%

Bound state solutions of a Dirac particle undergoing a tensor interaction potentials via asymptotic iteration method

Alsadi

2020

Journal of Taibah University for Science

View full text Add to dashboard Cite

show abstract

Application of the Lewis-Riesenfeld quantum mechanical invariant method for description of electron tunneling transport in nitride multilayer quantum well nanostructures

Boyko,

Petryk,

Lebovka

2023

Physics Letters A

View full text Add to dashboard Cite

Possibility of persistent current in S-states

Yadav,

Dahiya,

Prasad

2024

Sci Rep

View full text Add to dashboard Cite

In this study, we investigate the profound impact of the Pöschl–Teller double-ring-shaped Coulomb (PTDRSC) potential to induce persistent currents within the S-states of the hydrogenic atom. The confinement of the system is achieved through an impenetrable spherical boundary. Leveraging first-order perturbation theory, we quantify the charge current across various states induced by the PTDRSC potential with its inherent angular and azimuthal dependence, leading to angular and azimuthal distortion, respectively. Notably, persistent currents are observed within S-states without external excitation mechanisms. The magnitude of the induced current is intricately linked to the strength of the PTDRSC potential parameters. These results underscore the prospect of manipulating persistent currents and their associated induced magnetic fields within S-states by tailoring the potential strength and confining boundary size. This discovery presents a compelling avenue for the controlled generation and experimental verification of induced S-state magnetism, opening new possibilities for innovative applications.

show abstract

Exact Solutions for Time-Dependent Schrödinger Equation in Presence of the Pöschl-Teller Double-Ring Shaped Harmonic Potential

Cited by 3 publications

References 25 publications

Bound state solutions of a Dirac particle undergoing a tensor interaction potentials via asymptotic iteration method

Bound state solutions of a Dirac particle undergoing a tensor interaction potentials via asymptotic iteration method

Application of the Lewis-Riesenfeld quantum mechanical invariant method for description of electron tunneling transport in nitride multilayer quantum well nanostructures

Possibility of persistent current in S-states

Contact Info

Product

Resources

About